Curvature of Multiply Warped Products
Differential Geometry
2009-11-10 v3 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In this paper, we study Ricci-flat and Einstein Lorentzian multiply warped products. We also consider the case of having constant scalar curvatures for this class of warped products. Finally, after we introduce a new class of spacetimes called as generalized Kasner space-times, we apply our results to this kind of space-times as well as other relativistic space-times, i.e., Reissner-Nordstrom, Kasner space-times, Banados-Teitelboim-Zanelli and de Sitter Black hole solutions.
Keywords
Cite
@article{arxiv.math/0406039,
title = {Curvature of Multiply Warped Products},
author = {Fernando Dobarro and Bulent Unal},
journal= {arXiv preprint arXiv:math/0406039},
year = {2009}
}
Comments
28 pages, corrected typos, to appear in Journal of Geometry and Physics